ACT Math Preparation: Key Formulas and Concepts, Exams of Mathematics

Download ACT Math Preparation: Key Formulas and Concepts and more Exams Mathematics in PDF only on Docsity! ACT Math Prep test (Latest Update)GRADED A+ Quadratic Formula - Correct Answer ✅-b±[√b²-4ac]/2a Slope - Correct Answer ✅(y₂-y₁)/(x₂-x₁) Slope-Intercept - Correct Answer ✅y=mx+b a³-b³ - Correct Answer ✅(a-b)(a²+ab+b²) a³+b³ - Correct Answer ✅(a+b)(a²-ab+b²) a²-b² - Correct Answer ✅(a-b)(a+b) a²-2ab+b² - Correct Answer ✅(a-b)² a²+2ab+b² - Correct Answer ✅(a+b)² (a+b)(c+d) - Correct Answer ✅ac+ad+bc+bd ACT Math Prep test (Latest 2023)GRADED A+ ACT Math Prep test (Latest Update)GRADED A+ a(b+c) - Correct Answer ✅ab+ac sine ratio - Correct Answer ✅opposite ÷ hypotenuse cosine ratio - Correct Answer ✅adjacent ÷ hypotenuse tangent ratio - Correct Answer ✅opposite ÷ adjacent A function is ___________ a relation - Correct Answer ✅always Direct Variation - Correct Answer ✅y=kx Inverse Variation - Correct Answer ✅y=k/x Slope intercept form - Correct Answer ✅y=mx+b Point-Slope form - Correct Answer ✅y-y₁=m(x-x₁) ACT Math Prep test (Latest 2023)GRADED A+ ACT Math Prep test (Latest Update)GRADED A+ Linear parent function - Correct Answer ✅y=x or f(x)=x Elimination method - Correct Answer ✅solving systems by adding or subtracting equations to eliminate a variable Solution of the system of linear equations - Correct Answer ✅Any ordered pair in a system that makes all the equations true Graphing method - Correct Answer ✅Graphing the system of equations and finding the point at which they intersect Substitution method - Correct Answer ✅Replacing one variable with an equivalent expression containing the other variable Absolute value equation - Correct Answer ✅A V-shaped graph that points upward of downward ACT Math Prep test (Latest 2023)GRADED A+ ACT Math Prep test (Latest Update)GRADED A+ Translation - Correct Answer ✅A shift of a graph horizontally, vertically, or both, which results in a graph of the same shape and size, but in a different position. Area of a circle - Correct Answer ✅Πr² Area of a square - Correct Answer ✅s², where s = length of a side Area of a triangle - Correct Answer ✅½(base x height) [or (base x height)÷2] Area of a trapezoid - Correct Answer ✅½(b₁ +b₂) x h [or (b₁ +b₂) x h÷2] Perimeter of a rectangle - Correct Answer ✅2Length + 2width [or (length + width) x 2] Perimeter of a square - Correct Answer ✅4s (where s = length of a side) Perimeter (circumference) of a circle - Correct Answer ✅2 pi r ACT Math Prep test (Latest 2023)GRADED A+ ACT Math Prep test (Latest Update)GRADED A+ Area of rectangle, square, parallelogram - Correct Answer ✅A=bh Circumference of a circle - Correct Answer ✅∏d OR 2∏r Area of a sector - Correct Answer ✅x°/360 times (∏r²), where x is the degrees in the angle length of a sector - Correct Answer ✅x°/360 times (2 pi r), where x is the degrees in the angle Circle - Correct Answer ✅Is the set of points which are all the same distance (its radius) from a certian point( the center). Radius (Radii) - Correct Answer ✅A segment connecting the center of a circle to any point on the circle Diameter - Correct Answer ✅The distance across the circle through the center of the circle.The diameter is twice the radius. ACT Math Prep test (Latest 2023)GRADED A+